Atkin-Lehner |
2+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
73696c |
Isogeny class |
Conductor |
73696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-17340521408 = -1 · 26 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,539,4116] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:36:1] |
Generators of the group modulo torsion |
j |
2299968/2303 |
j-invariant |
L |
4.7625290982153 |
L(r)(E,1)/r! |
Ω |
0.81129854543618 |
Real period |
R |
2.935127349313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73696h1 10528a1 |
Quadratic twists by: -4 -7 |